# Word problems

## In a singing competition, positive points are given for good singing, and negative points for bad singing. Sophia got these points in five rounds, 50, – 15, – 10, 75 and 40. What were her total points in all the five rounds?

#### Explanation:

Add all the points that Sophia got in five rounds.

50 + (– 15) + (– 10) + 75 + 40

= (50 + 75 + 40) + (– 15) + (– 10)

= 165 + (-25)

= 165 – 25

=140

So, Sophia got 140 points in all the five rounds.

## Max has $5,000 in his bank account. He withdraws$3,150 to pay for his vacation. How much money remains in Max's account?

##### $1850 #### Explanation: The money that is deposited is represented by a positive integer because it is adding money to the account. The money that is withdrawn is represented by a negative integer because it is subtracting money. Amount deposited =$5,000

Amount withdrawn = $3,150 The balance in Max's account = 5,000 + (-3150) = 5,000 – 3150 = 1850 So, Max has$1850 left in his bank account after withdrawing money for his vacation.

## Jennifer and her friends go to a park for a picnic. The park is 55 miles north of her school, and her house is 50 miles south along the same road. After picnic, she goes back to her house. How will you represent the distance she has to travel everyday to reach her school towards south?

#### Explanation:

The distance towards north is represented by a positive integer. The distance towards south is represented by a negative integer.

The park is 55 miles north of her school, and her house is 50 miles south of her school.

Distance from house to school is 55 miles + (-50 miles)

55 miles + (-50 miles)

= 55 - 50

= 5

So, Jennifer has to travel 5 miles everyday to school.

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